Factor completely

Let's see...we need  two integers that  multiply to 2   =  1, 2

And  2 two integers that multiply to 6  =  1, 6  or  3,2

Every term is positive...so no negatives  will apply

So....let's try

(2x + 3) ( x + 2)       hey ....got  it  on the  first try  !!!

Proof

2x*x + 2x*2  + 3*x  + 3*2  =

2x^2 + 4x + 3x + 6  =

2x^2  + 7x + 6  =     just what we started with  !!!

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